Answer:
A. The slope is 7/2, The y-intercept is (0,-3)
Explanation:
The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.
We have that x1=0, y1=−3, x2=2, and y2=4.
Plug the given values into the formula for a slope: m=4−(−3)/2−0=72.
Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).
b = -3 - (7/2) × (0) = -3
Finally, the equation of the line can be written in the form y=b+mx:
y = 7/2x - 3